Newton's Laws

I. Every object in a state of uniform motion tends to remain in that state of motion unless an external force is applied to it.

Aj's mouse trap car relates to this because, we are going to have two mouse traps and when one mouse trap sets off at the end of it's turn it will touch the other mouse trap and make it move the opposite direction.
But to make it quicker we are going to lighten up the "load" by making the car with balsa wood and using other light materials so the gravity and friction don't slow it down.

II. The relationship between an object's mass m, its acceleration a, and the applied force F is F = ma. Acceleration and force are vectors (as indicated by their symbols being displayed in slant bold font); in this law the direction of the force vector is the same as the direction of the acceleration vector.

Aj's mouse trap car relates to this because, as the speed of the car is accelerated by the mouse trap the car go a farther distance.

III. For every action there is an equal and opposite reaction.

There are going to be two mouse traps and they are going to act against each other as the mouse trap car (MTC) moves on.